Many-body vortex effect on the transverse force acting on a moving vortex

TL;DR

This paper investigates how the electronic structure of vortex cores influences the transverse force on moving vortices in fermionic superfluids, revealing complex many-body effects beyond the classical Magnus force.

Contribution

It provides a detailed numerical analysis of the Berry phase and transverse force in a two-vortex system, highlighting the impact of many-body vortex core structures.

Findings

Vortex core electronic structure affects the transverse force.

The Magnus force remains robust despite many-body effects.

Numerical solutions of Bogoliubov-de Gennes equations elucidate vortex interactions.

Abstract

The nondissipative transverse force acting on one moving vortex under the influence of another vortex is discussed in fermionic superfluid systems, where the relative velocity between the vortices is finite. On the basis of detailed numerical solutions of the Bogoliubov-de Gennes equation, the Berry phase for an adiabatic motion of the vortex line is examined for a two-vortex system. It is found that the detailed electronic structure of a vortex core can affect the transverse force, without abandoning the previous discussions of the robust Magnus force on a single vortex.